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148496500 = 2253477189
BaseRepresentation
bin10001101100111…
…10000001110100
3101100102101220101
420312132001310
5301003342000
622422443444
73452125255
oct1066360164
9340371811
10148496500
1176905689
1241893584
13249c3769
1415a16b2c
15d083e6a
hex8d9e074

148496500 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 56672000.

The previous prime is 148496489. The next prime is 148496507. The reversal of 148496500 is 5694841.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 148496500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148496507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668456 + ... + 1668544.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2148496500 is an apocalyptic number.

148496500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148496500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

148496500 is an abundant number, since it is smaller than the sum of its proper divisors (191159180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148496500 is a wasteful number, since it uses less digits than its factorization.

148496500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 148496500 is about 12185.9139993683. The cubic root of 148496500 is about 529.5480899231.

It can be divided in two parts, 148496 and 500, that added together give a square (148996 = 3862).

The spelling of 148496500 in words is "one hundred forty-eight million, four hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 71 89 94 100 125 142 178 188 235 250 284 355 356 445 470 500 710 890 940 1175 1420 1775 1780 2225 2350 3337 3550 4183 4450 4700 5875 6319 6674 7100 8366 8875 8900 11125 11750 12638 13348 16685 16732 17750 20915 22250 23500 25276 31595 33370 35500 41830 44500 63190 66740 83425 83660 104575 126380 157975 166850 209150 296993 315950 333700 417125 418300 522875 593986 631900 789875 834250 1045750 1187972 1484965 1579750 1668500 2091500 2969930 3159500 5939860 7424825 14849650 29699300 37124125 74248250 148496500